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Finding the Fourth Proportional to 176.78, 264.94 and 98.77

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Solution

The fourth proportional to 176.78, 264.94 and 98.77 is: 148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 264.94 = 98.77 : x
  2. Step 2: Convert to fraction form
    176.78/264.94 = 98.77/x
  3. Step 3: Cross multiply
    176.78x = 264.94 × 98.77
  4. Step 4: Simplify right side
    176.78x = 26,167.71
  5. Step 5: Solve for x
    x = 26,167.71/176.78
  6. Step 6: Final answer
    x = 148.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.